Numerical Study Of Nonlinear Pulsatile Flow In S-Shaped Curved Arteries

The research work in nonlinear pulsatile flow and nonlinear pulse wave propagation is reviewed. We designed two kinds of diameter S-shaped curved arteries finite element numerical simulation geometric models in order to study the influence caused by the singular curved factor (such as the curvature radius, the Dean number) to flow , and extract the characteristic flow form related to the curve. In the research work ,finite element analyses is adopted to study the velocity wave and the secondary flow of nonlinear pulsatile flow in the S-shaped curved arteries. The models are obtained by simulating and simplifying the big curve at the arch of aorta and opposite curve of branching vessels .The original conditions of simulation calculating are the entrance velocities and the exit pressures. The boundary conditions are the wall non-slippery flow conditions and the symmetry conditions. Three kinds of results are obtained by simulation calculating the two models :the composed vector diagrams of the axial velocity (v )and the radial velocity( vr) at the different times in the symmetry section ; diagrams of curves of the velocity vector(v^) and (vr) at the different times in the different sections; diagrams of the secondary flow vectors at the different times in the different sections. A lot of significant calculation results obtained .We expect that the research work could provide some medical references and guides to the progress operations of and near the arch of aorta, transplanting surgical operation of man-made vessels , the transplanting surgical operation of the same aortas. We also hope that the work could provide much more and more comprehensive theoretics foundations for the research of pulsatile flow in the curved arteries.